Big-O Cheat Sheet, Cheat Sheet of Computer Science

Download Big-O Cheat Sheet and more Cheat Sheet Computer Science in PDF only on Docsity! Big-O Cheat Sheet Generated December 10, 2013. Brandon Amos <http://bamos.github.io> 1 Searching Algorithm Data Structure Time Complexity Space Complexity Average Worst Depth First Search (DFS) Graph of |V | vertices and |E| edges - O (|E|+ |V |) O (|V |) Breadth First Search (BFS) Graph of |V | vertices and|E| edges - O (|E|+ |V |) O (|V |) Binary search Sorted array of n elements O (log(n)) O (log(n)) O (1) Linear (Brute Force) Array O (n) O (n) O (1) Shortest path by Dijkstra, using a Min-heap as prior- ity queue Graph with |V | vertices and |E| edges O ((|V |+ |E|) log |V |) O ((|V |+ |E|) log |V |) O (|V |) Shortest path by Dijkstra, using an unsorted array as priority queue Graph with |V | vertices and |E| edges O ( |V |2 ) O ( |V |2 ) O (|V |) Shortest path by Bellman- Ford Graph with |V | vertices and |E| edges O (|V ||E|) O (|V ||E|) O (|V |) 1